Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 736/649,2780/2292
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 736,2780
Greatest Common Factor of Numerators i.e. GCF of 736,2780 is 4 .
LCM of Denominators means LCM of 649,2292 as per the given fractions.
LCM of 649,2292 is 1487508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 736,2780
2 | 736, 2780 |
2 | 368, 1390 |
184, 695 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 2780
List of positive integer factors of 2780 that divides 2780 without a remainder.
1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors 736,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 736,2780 is 4.
Lets's calculate LCM of 649,2292
Given numbers has no common factors except 1. So, there LCM is their product i.e 1487508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1487508
Therefore, the GCF of Fractions 736/649,2780/2292 is 4/1487508
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 649,2292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2292) x common factors =1 x 1 = 1
LCM(649,2292) = ( 649 × 2292 ) / 1
LCM(649,2292) = 1487508 / 1
LCM(649,2292) = 1487508
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 736/649, 2780/2292?
Answer: GCF of Numerators as per given numbers 736/649, 2780/2292 is
GCF of Numerators i.e. for 736,2780 is 4
LCM of denominators i.e. for 649,2292 is 1487508.
Thus, GCF of Fractions is 4/1487508.Finally, GCF of Fractions for 736/649, 2780/2292 is 4/1487508.